Drinfeld comultiplication and vertex operators

Jintai Ding; Kenji Iohara

doi:10.1016/S0393-0440(96)00041-1

Drinfeld comultiplication and vertex operators

Jintai Ding, Kenji Iohara^*

^*Corresponding author for this work

Kyoto University

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

For the current realization of the quantum affine algebras, Drinfeld gave a simple comultiplication of the quantum current operators. With this comultiplication, we study the related vertex operators for the case of U_q (s-fraktur sign̂l-fraktur sign_n) and give an explicit bosonization of these new vertex operators. We use these vertex operators to construct the quantum current operators of U_q(s-fraktur sign̂l-fraktur sign_n) and discuss its connection with quantum boson-fermion correspondence.

Original language	English
Pages (from-to)	1-13
Number of pages	13
Journal	Journal of Geometry and Physics
Volume	23
Issue number	1
DOIs	https://doi.org/10.1016/S0393-0440(96)00041-1
Publication status	Published - Aug 1997
Externally published	Yes

Keywords

Drinfeld comultiplication
Quantum affine algebras
Vertex operators

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10.1016/S0393-0440(96)00041-1

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AU - Iohara, Kenji

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AB - For the current realization of the quantum affine algebras, Drinfeld gave a simple comultiplication of the quantum current operators. With this comultiplication, we study the related vertex operators for the case of Uq (s-fraktur sign̂l-fraktur signn) and give an explicit bosonization of these new vertex operators. We use these vertex operators to construct the quantum current operators of Uq(s-fraktur sign̂l-fraktur signn) and discuss its connection with quantum boson-fermion correspondence.

KW - Drinfeld comultiplication

KW - Quantum affine algebras

KW - Vertex operators

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JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

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ER -

Drinfeld comultiplication and vertex operators

Abstract

Keywords

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